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Category and Topological Order Seminar
Noninvertible surfaces, topological orders, and the 2-Deligne theorem
Noninvertible surfaces, topological orders, and the 2-Deligne theorem
Organizer
Speaker
Matthew Yu
Time
Tuesday, May 23, 2023 9:00 AM - 11:00 AM
Venue
Online
Abstract
Fusion higher categories have recently been of interest for their ability to describe the topological content of quantum field theories. I will focus on the notion of what is an anomaly for a noninvertible symmetry enacted by surface operators of a 2-category. I will then give examples of when we have reasonable control over these anomalies. In describing this I will introduce techniques that are also applicable for classifying 5d topological orders, and I will present the full classification. Finally I will present a result about fiber 2-functors which categorifies a theorem of Deligne's for symmetric 1-categories.